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Simplifying 46x + 30 = 7x2 + 35x Reorder the terms: 30 + 46x = 7x2 + 35x Reorder the terms: 30 + 46x = 35x + 7x2 Solving 30 + 46x = 35x + 7x2 Solving for variable 'x'. Combine like terms: 46x + -35x = 11x 30 + 11x + -7x2 = 35x + 7x2 + -35x + -7x2 Reorder the terms: 30 + 11x + -7x2 = 35x + -35x + 7x2 + -7x2 Combine like terms: 35x + -35x = 0 30 + 11x + -7x2 = 0 + 7x2 + -7x2 30 + 11x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 30 + 11x + -7x2 = 0 Factor a trinomial. (3 + -1x)(10 + 7x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(10 + 7x)' equal to zero and attempt to solve: Simplifying 10 + 7x = 0 Solving 10 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 7x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = 0 + -10 7x = 0 + -10 Combine like terms: 0 + -10 = -10 7x = -10 Divide each side by '7'. x = -1.428571429 Simplifying x = -1.428571429Solution
x = {3, -1.428571429}
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